Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCD Calculator to determine the Greatest Common Divisor of 570, 205, 850, 325 i.e. 5 largest integer that divides all the numbers equally.
GCD of 570, 205, 850, 325 is 5
GCD(570, 205, 850, 325) = 5
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 570, 205, 850, 325 is 5
GCD(570, 205, 850, 325) = 5
Given Input numbers are 570, 205, 850, 325
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 205
List of positive integer divisors of 205 that divides 205 without a remainder.
1, 5, 41, 205
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 325
List of positive integer divisors of 325 that divides 325 without a remainder.
1, 5, 13, 25, 65, 325
Greatest Common Divisior
We found the divisors of 570, 205, 850, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 570, 205, 850, 325 is 5.
Therefore, GCD of numbers 570, 205, 850, 325 is 5
Given Input Data is 570, 205, 850, 325
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 205 is 5 x 41
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 325 is 5 x 5 x 13
Highest common occurrences in the given inputs are 51
Multiplying them we get the GCD as 5
Step1:
Let's calculate the GCD of first two numbers
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(570, 205) = 23370
GCD(570, 205) = ( 570 x 205 ) / 23370
GCD(570, 205) = 116850 / 23370
GCD(570, 205) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 850) = 850
GCD(5, 850) = ( 5 x 850 ) / 850
GCD(5, 850) = 4250 / 850
GCD(5, 850) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 325
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 325) = 325
GCD(5, 325) = ( 5 x 325 ) / 325
GCD(5, 325) = 1625 / 325
GCD(5, 325) = 5
GCD of 570, 205, 850, 325 is 5
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 570, 205, 850, 325?
GCD of 570, 205, 850, 325 is 5
2. Where do I get the detailed procedure to find GCD of 570, 205, 850, 325?
You can find a detailed procedure to find GCD of 570, 205, 850, 325 on our page.
3. How to find GCD of 570, 205, 850, 325 on a calculator?
You can find the GCD of 570, 205, 850, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.